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Finding the Third Proportional to 2.17 and 4.68

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Solution

The third proportional to 2.17 and 4.68 is: 10.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.17 : 4.68 = 4.68 : x
  2. Step 2: Convert to fraction form
    2.17/4.68 = 4.68/x
  3. Step 3: Cross multiply
    2.17x = 4.68 × 4.68
  4. Step 4: Simplify right side
    2.17x = 21.93
  5. Step 5: Solve for x
    x = 21.93/2.17
  6. Step 6: Final answer
    x = 10.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.